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Simplifying 15 + -3r + -16 = 8r + 9 + -6r Reorder the terms: 15 + -16 + -3r = 8r + 9 + -6r Combine like terms: 15 + -16 = -1 -1 + -3r = 8r + 9 + -6r Reorder the terms: -1 + -3r = 9 + 8r + -6r Combine like terms: 8r + -6r = 2r -1 + -3r = 9 + 2r Solving -1 + -3r = 9 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -1 + -3r + -2r = 9 + 2r + -2r Combine like terms: -3r + -2r = -5r -1 + -5r = 9 + 2r + -2r Combine like terms: 2r + -2r = 0 -1 + -5r = 9 + 0 -1 + -5r = 9 Add '1' to each side of the equation. -1 + 1 + -5r = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -5r = 9 + 1 -5r = 9 + 1 Combine like terms: 9 + 1 = 10 -5r = 10 Divide each side by '-5'. r = -2 Simplifying r = -2
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